Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 10.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`flip3-+` `associate-*r/` `flip-+`
3×	`+-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `-commutative` `associate-/l/` `associate-/l`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 19

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
4.0ms	(* x (+ (/ x y) 1.0))
7.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series82.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (/ x y) 1.0)
28.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	139	121
1	412	119
2	1803	119
3	5002	117

prune54.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
1×	`+-commutative`

Counts

3 → 21

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
5.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
5.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series126.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	143	125
1	483	123
2	2051	120
3	5001	120

prune58.0ms

Filtered

30 candidates to 22 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-/r/` `associate-/l/`
8×	`clear-num`
7×	`flip3-+` `flip-+`
6×	`frac-2neg` `div-inv` `associate-/l*`
2×	`remove-double-div`
1×	`+-commutative` `associate-/r*` `inv-pow`

Counts

4 → 39

Calls

4 calls:

3.0ms	(+ (/ x y) 1.0)
6.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
5.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
7.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
83.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
68.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
48.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify113.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	174	196
1	589	192
2	3208	185
3	5001	185

prune96.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	5	55

Merged error: 0b

Counts

55 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ x y) 3)
0.3b	(* (/ x y) (/ x y))
3.2b	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
15.1b	(/ (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-/r/`
32×	`frac-add`
31×	`clear-num`
28×	`frac-2neg`
27×	`frac-times`
16×	`flip3--` `flip--`
10×	`associate-/l/`
9×	`associate-r/` `associate-l/` `div-inv`
7×	`associate-/l*`
5×	`flip3-+` `associate-/r*` `flip-+`
3×	`un-div-inv`
2×	`sum-cubes`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `unpow3` `swap-sqr` `associate-r` `associate-l` `*-commutative` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

2.0ms	(pow (/ x y) 3)
4.0ms	(* (/ x y) (/ x y))
6.0ms	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
20.0ms	(/ (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (/ x y) 3)
31.0ms	(* (/ x y) (/ x y))
70.0ms	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
94.0ms	(/ (/ x (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

simplify108.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	867	1411
1	3748	1366
2	5001	1361

prune285.0ms

Filtered

95 candidates to 65 candidates (68.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample365.0ms

Algorithm

intervals

Results

225.0ms

9114×

body

valid